Please everyone, respect the tradition of the parish you are attending. I say this as a son and brother of a priest. If kissing the chalice in NOT the local custom DON'T do it. The chances of startling the priest or those holding the chalice cloth thereby causing an accident are pretty good. That's only common sense. And if your custom is not to kiss the chalice and you are worried about your causing an accident, just pull back respectfully after receiving. Thanks!
At my Antiochian parish we don't kiss the chalice, and to attempt to would probably be difficult since the chalice isn't readily within kissing reach. Almost guaranteed to push the people holding the cloth or knock the chalice down.
I believe the OCA parish does kiss the chalice since a parishioner was saying they do, but that the local Greek parish doesn't. So I'll be getting used to that as well.